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Popular >

extreme f(x)=(4-3x)^2

Solution

extreme points

f (x) = (4 - 3 x)^{2}

Solution

Minimum (\frac{4}{3}, 0)

Solution steps

f^{'} (x) = - 6 (4 - 3 x)

Find intervals:

Decreasing

: - \infty < x < \frac{4}{3},

Increasing

: \frac{4}{3} < x < \infty

Plug

x = \frac{4}{3}

into

(4 - 3 x)^{2} : 0

Minimum (\frac{4}{3}, 0)

Popular Examples

inflection f(x)=5x^3-3x inflection points

f (x) = 5 x^{3} - 3 x

domain of g(t)= 3/(sqrt(t))domain

g (t) = \frac{3}{t}

perpendicular y=-x/2-6,(-8,1)perpendicular

y = - \frac{x}{2} - 6, (- 8, 1)

range of sqrt(3x-1)+5 range

3 x - 1 + 5

domain of f(x)=-3/(2x^{3/2)}domain

f (x) = - \frac{3}{2 x ^{\frac{3}{2}}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(4-3x)^2 ?
The extreme f(x)=(4-3x)^2 is Minimum(4/3 ,0)